Generalized PolyCube Trivariate Splines

13 years 4 months ago
Generalized PolyCube Trivariate Splines
Abstract—This paper develops a new trivariate hierarchical spline scheme for volumetric data representation. Unlike conventional spline formulations and techniques, our new framework is built upon a novel parametric domain called Generalized PolyCube (GPC), comprising a set of regular cubes being glued together. Compared with the conventional PolyCube (PC) that could serve as a “one-piece” 3-manifold domain, GPC has more powerful and flexible representation ability. We develop an effective framework that parameterizes a solid model onto a topologically equivalent GPC domain, and design a hierarchical fitting scheme based on trivariate T-splines. The entire data-spline-conversion modeling framework provides high-accuracy data fitting and greatly reduce the number of superfluous control points. It is a powerful toolkit with broader application appeal in shape modeling, engineering analysis, and reverse engineering. Keywords-Trivariate Spline; Generalized PolyCube; Volumetric Pa...
Bo Li, Xin Li, Kexiang Wang, Hong Qin
Added 30 Jan 2011
Updated 30 Jan 2011
Type Journal
Year 2010
Where SMI
Authors Bo Li, Xin Li, Kexiang Wang, Hong Qin
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